13139617598172 has 288 divisors, whose sum is σ = 37899074304000. Its totient is φ = 3955256428032.

The previous prime is 13139617598171. The next prime is 13139617598179. The reversal of 13139617598172 is 27189571693131.

13139617598172 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 9 + 617 + 5 + 9 + 8 + 1 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13139617598171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2761001529 + ... + 2761006287.

It is an arithmetic number, because the mean of its divisors is an integer number (131594008000).

Almost surely, 2^{13139617598172} is an apocalyptic number.

13139617598172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13139617598172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18949537152000).

13139617598172 is an abundant number, since it is smaller than the sum of its proper divisors (24759456705828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13139617598172 is a wasteful number, since it uses less digits than its factorization.

13139617598172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9487 (or 9473 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 13139617598172 in words is "thirteen trillion, one hundred thirty-nine billion, six hundred seventeen million, five hundred ninety-eight thousand, one hundred seventy-two".